Question

The length of a shadow of a building is 28m. The distance from the top of the building to the tip of the shadow is

34m. Find the height of the building. If necessary, round your answer to the nearest tenth.

Answer 1

Explanation:

this will form a triangle with Hypotenuse of 34m and opposite of 28m taking the angle from the top of the building

using Pythagoras Theorem,

Opposite square + Adjascent square = Hypotenus square

let the Adjascent be h

282 + h2 =342

`28^(2) +h^(2) =34^(2)`

784 + h^{2} = 1156

h^{2} = 1156 -784

h^{2}=372

h =
`√(372)`

=19.3m

Answer 2

you would use pythagorean's theorem which is
a^2 + b^2 = c^2
a= height of the building
b= length of the shadow
c= length from the tip building to the shadow
now plug them in!
a^2+ 28^2 = 34^2
a^2 + 784 = 1156
substract 784 from both sides
a^2 = 362
square root both sides
a = the square root of 362 which is 19.5 m